Complex Addition/Examples/(3 + 2i) + (-7 - i)
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Example of Use of Complex Addition is Commutative
- $\paren {3 + 2 i} + \paren {-7 - i} = -4 + i$
Proof
| \(\ds \paren {3 + 2 i} + \paren {-7 - i}\) | \(=\) | \(\ds \paren {3 + \paren {-7} } + \paren {2 + \paren {-1} } i\) | Definition of Complex Addition | |||||||||||
| \(\ds \) | \(=\) | \(\ds -4 + i\) |
$\blacksquare$
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Solved Problems: Fundamental Operations with Complex Numbers: $1 \ \text{(a)}$